List questions from group-homomorphism

Published on 14 Jul 2018 - 11:35

312

Views

On isomorphisms between $G$ and $H\times K$

Published on 16 Jul 2018 - 19:43

58

Views

(Un)boundedness of real-valued homomorphism on some lattice.

Published on 18 Jul 2018 - 11:59

970

Views

Homomorphisms between a finite group and $(\mathbb R,+)$

Published on 19 Jul 2018 - 5:12

45

Views

The kernel of $ C_m\to C_m,\ x\to x^r$

Published on 19 Jul 2018 - 23:32

5.5k

Views

How many homomorphisms from $\mathbb Z_4$ to $S_4$?

Published on 25 Mar 2026 - 15:46

245

Views

Homomorphism from divisible group to finite group is always trivial

Published on 25 Mar 2026 - 6:16

124

Views

Every surjective homomorphism $\alpha : \mathbb{Z}^3 \rightarrow \mathbb{Z}^3$ is isomorphism

Published on 21 Jul 2018 - 8:14

2k

Views

Image of abelian group under homomorphism is abelian group.

Published on 24 Jul 2018 - 22:40

550

Views

Homomorphisms from $\mathbb Q$ to a finitely generated abelian group

Published on 26 Jul 2018 - 17:58

282

Views

Is the following mappings automorphisms of their respective groups? (Herstein BOOK)

Published on 31 Jul 2018 - 16:34

71

Views

Lie group homomorphism to $S^1$

Published on 22 Mar 2026 - 6:25

273

Views

Show that $GL_n(\mathbb{F}_{23})$ has subgroup of index $2$

Published on 11 Aug 2018 - 20:44

275

Views

Isomorphism theorem in categories?

Published on 12 Aug 2018 - 7:57

515

Views

Is $f(z)=2^z$ a homomorphism?

Published on 12 Aug 2018 - 11:41

List Question

Sufficient conditions for a group homomorphism/isomorphism

On isomorphisms between $G$ and $H\times K$

(Un)boundedness of real-valued homomorphism on some lattice.

Homomorphisms between a finite group and $(\mathbb R,+)$

The kernel of $ C_m\to C_m,\ x\to x^r$

How many homomorphisms from $\mathbb Z_4$ to $S_4$?

Homomorphism from divisible group to finite group is always trivial

Every surjective homomorphism $\alpha : \mathbb{Z}^3 \rightarrow \mathbb{Z}^3$ is isomorphism

Image of abelian group under homomorphism is abelian group.

Homomorphisms from $\mathbb Q$ to a finitely generated abelian group

Is the following mappings automorphisms of their respective groups? (Herstein BOOK)

Lie group homomorphism to $S^1$

Show that $GL_n(\mathbb{F}_{23})$ has subgroup of index $2$

Isomorphism theorem in categories?

Is $f(z)=2^z$ a homomorphism?

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